Solved: The two vectors a and b in Fig. 3-28 have equal

Chapter , Problem 15

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The two vectors \(\vec{a}\) and \(\vec{b}\)  in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are \(\theta_{1}=30^{\circ}\) and \(\theta_{2}=105^{\circ}\). Find the

(a) x and

(b) y components of their vector sum \(\vec{r}\),

(c) the magnitude of \(\vec{r}\) , and

(d) the angle \(\vec{r}\) makes with the positive direction of the x axis.

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